Below are listed rank-two temperaments supported by the 19edo patent val, below the indicated cutoff in TE badness.

5-limit temperaments with badness below 0.1

Listed is the wedgie and the TE complexity for six temperaments with badness less than 0.1.

Rank	Wedgie	Name	Complexity	Commas
1	<<1 4 4]]	Meantone	1.231	81/80
2	<<5 1 -10]]	Magic	2.417	3125/3072
3	<<6 5 -6]]	Hanson	2.685	15625/15552
4	<<4 -3 -14]]	Negri	2.739	16875/16384
5	<<7 9 -2]]	Sensipent	3.407	78732/78125
6	<<13 14 -8]]	Parakleismic	6.010	1224440064/1220703125
7	<<19 19 -14]]	Enneadecal	8.663	19073486328125/19042491875328
8	<<51 52 -36]]	Egads	23.328	\|-36 -52 51>

7-limit temperaments with badness below 0.06

Listed is the wedgie and the TE complexity for six temperaments with badness less than 0.06.

Rank	Wedgie	Name	Complexity	Commas
1	<<2 8 1 8 -4 -20]]	Godzilla	2.181	49/48 81/80
2	<<1 4 10 4 13 12]]	Meantone	2.205	81/80 126/125
3	<<6 5 3 -6 -12 -7]]	Keemun	2.280	49/48 126/125
4	<<5 1 12 -10 5 25]]	Magic	2.937	225/224 245/243
5	<<1 4 -9 4 -17 -32]]	Flattone	2.987	81/80 525/512
6	<<7 9 13 -2 1 5]]	Sensi	3.080	126/125 245/243
7	<<4 -3 2 -14 -8 13]]	Negri	3.211	49/48 225/224
8	<<3 12 11 12 9 -8]]	Liese	3.211	81/80 686/675
9	<<5 1 -7 -10 -25 -19]]	Muggles	3.261	126/125 525/512
10	<<3 -7 -8 -18 -21 1]]	Triton	3.342	225/224 1029/1000
11	<<6 5 22 -6 18 37]]	Catakleismic	4.684	225/224 4375/4374
12	<<8 13 23 2 14 17]]	Unicorn	4.847	126/125 10976/10935
13	<<12 10 25 -12 6 30]]	Clyde	5.61	245/243 3136/3125
14	<<7 9 32 -2 31 49]]	Sensei	6.706	225/224 78732/78125
15	<<13 14 35 -8 19 42]]	Parakleismic	7.343	3136/3125 4375/4374
16	<<14 18 45 -4 32 54]]	Subpental	9.279	3136/3125 19683/19600
17	<<19 19 57 -14 37 79]]	Enneadecal	11.926	4375/4374 703125/702464
18	<<32 33 92 -22 56 121]]	Acrokleismic	19.245	4375/4374 2202927104/2197265625

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